### Abstract

We propose a relatively new notion of two-valued elements, which arise naturally in constructing star exponential functions of the quadratics in the Weyl algebra over the complex number. This notion enables us to describe group-like objects of the set of star exponential functions of quadratics in the Weyl algebra.

Original language | English |
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Title of host publication | Progress in Mathematics |

Publisher | Springer Basel |

Pages | 483-492 |

Number of pages | 10 |

Volume | 232 |

DOIs | |

Publication status | Published - 2005 |

### Publication series

Name | Progress in Mathematics |
---|---|

Volume | 232 |

ISSN (Print) | 0743-1643 |

ISSN (Electronic) | 2296-505X |

### Fingerprint

### ASJC Scopus subject areas

- Algebra and Number Theory
- Analysis
- Geometry and Topology

### Cite this

*Progress in Mathematics*(Vol. 232, pp. 483-492). (Progress in Mathematics; Vol. 232). Springer Basel. https://doi.org/10.1007/0-8176-4419-9_16

**Star exponential functions as two-valued elements.** / Maeda, Y.; Miyazaki, Naoya; Omori, H.; Yoshioka, A.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

*Progress in Mathematics.*vol. 232, Progress in Mathematics, vol. 232, Springer Basel, pp. 483-492. https://doi.org/10.1007/0-8176-4419-9_16

}

TY - CHAP

T1 - Star exponential functions as two-valued elements

AU - Maeda, Y.

AU - Miyazaki, Naoya

AU - Omori, H.

AU - Yoshioka, A.

PY - 2005

Y1 - 2005

N2 - We propose a relatively new notion of two-valued elements, which arise naturally in constructing star exponential functions of the quadratics in the Weyl algebra over the complex number. This notion enables us to describe group-like objects of the set of star exponential functions of quadratics in the Weyl algebra.

AB - We propose a relatively new notion of two-valued elements, which arise naturally in constructing star exponential functions of the quadratics in the Weyl algebra over the complex number. This notion enables us to describe group-like objects of the set of star exponential functions of quadratics in the Weyl algebra.

UR - http://www.scopus.com/inward/record.url?scp=37049035075&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=37049035075&partnerID=8YFLogxK

U2 - 10.1007/0-8176-4419-9_16

DO - 10.1007/0-8176-4419-9_16

M3 - Chapter

VL - 232

T3 - Progress in Mathematics

SP - 483

EP - 492

BT - Progress in Mathematics

PB - Springer Basel

ER -